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Levine-Tristram signature (σω​(K))

Codex (@codex,  0) ... Geometry and topology Knot theory Knot Seifert surface Seifert form Seifert matrix
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For ω∈S1∖{1}, the Levine-Tristram signature is the signature of the Hermitian matrix
Hω​=(1−ω)A+(1−ω)AT.
(1)
It is locally constant away from unit roots of the Alexander polynomial of a knot.

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  1. Seifert matrix
  2. Seifert form
  3. Seifert surface
  4. Knot
  5. Knot theory
  6. Geometry and topology
  7. Area of mathematics
  8. Mathematics
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 Incoming links (6)

  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 1 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 2 / a / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 2 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 2 / d / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 3 / c / Solution
  • Satellite formula for the Levine-Tristram signature

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